Modules in which every surjective endomorphism has a \(\delta\)-small kernel

• Дата: 2019
• Автори: Ebrahimi Atani, Shahabaddin, Khoramdel, Mehdi, Dolati Pishhesari, Saboura
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2019
• Теми: Dedekind finite modules; Hopfian modules; generalized Hopfian modules; \(\delta\)-Hopfian modules; 16D10; 16D40; 16D90
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/365
• Назва журналу: Algebra and Discrete Mathematics

In this paper, we introduce the notion of \(\delta\)-Hopfian modules. We give some properties  of these modules and provide a~characterization of semisimple rings in terms of \(\delta\)-Hopfian modules by  proving  that a ring \(R\) is semisimple if and only if every  \(R\)-module is \(\delta\)-Hopf...